Phases of the electronic two-level model under rotating wave approximation

We present the time evolution of the electronic two-level model in rotating wave approximation and calculate the Aharonov-Anandan phase of the vector states with cyclic evolution either within the period of an external monochromatic electric field or the period corresponding to the generalized Rabi...

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Bibliographic Details
Published inPhysica scripta Vol. 86; no. 2; pp. 25001 - 7
Main Authors Thomaz, M T, Aguiar Pinto, A C, Moutinho, M
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.08.2012
Subjects
Approximation
Electric fields
Electronics
Evolution
Mathematical analysis
Phases
Rotating
State vectors
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Summary:We present the time evolution of the electronic two-level model in rotating wave approximation and calculate the Aharonov-Anandan phase of the vector states with cyclic evolution either within the period of an external monochromatic electric field or the period corresponding to the generalized Rabi frequency. The Aharonov-Anandan phase in the most general case is shown to be dependent on the initial vector state, unless the system evolves in the adiabatic regime; in the latter case, the Aharonov-Anandan phase recovers Berry's phase. In the quasi-resonant regime of the electronic two-level model, the different relations between Γ and the frequency ω of the electric field correspond to distinct regimes of the coupling between this external field and matter.
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ISSN:0031-8949
1402-4896
DOI:10.1088/0031-8949/86/02/025001